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20261172547161 = 347213392681213
BaseRepresentation
bin1001001101101011010111…
…11111100000111001011001
32122201221121221200120020000
410212311223333200321121
510123424340133002121
6111031504300123213
74160551513032300
oct446655377407131
978657557616200
1020261172547161
116501795771337
122332901836509
13b3c80ac61a80
14500908817437
1525208d974526
hex126d6bfe0e59

20261172547161 has 60 divisors (see below), whose sum is σ = 37916512661412. Its totient is φ = 10687211865792.

The previous prime is 20261172547159. The next prime is 20261172547163. The reversal of 20261172547161 is 16174527116202.

20261172547161 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 1 + 172 + 5 + 471 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20261172547159) and next prime (20261172547163).

It can be written as a sum of positive squares in 2 ways, for example, as 7266156927561 + 12995015619600 = 2695581^2 + 3604860^2 .

It is not a de Polignac number, because 20261172547161 - 21 = 20261172547159 is a prime.

It is a super-2 number, since 2×202611725471612 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20261172547163) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 196289010 + ... + 196392203.

Almost surely, 220261172547161 is an apocalyptic number.

20261172547161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20261172547161 is a deficient number, since it is larger than the sum of its proper divisors (17655340114251).

20261172547161 is a wasteful number, since it uses less digits than its factorization.

20261172547161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392681252 (or 392681236 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 20261172547161 in words is "twenty trillion, two hundred sixty-one billion, one hundred seventy-two million, five hundred forty-seven thousand, one hundred sixty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 189 273 351 441 567 637 819 1053 1323 1911 2457 3969 5733 7371 17199 51597 392681213 1178043639 2748768491 3534130917 5104855769 8246305473 10602392751 15314567307 19241379437 24738916419 31807178253 35733990383 45943701921 57724138311 74216749257 107201971149 137831105763 173172414933 222650247771 250137932681 321605913447 413493317289 519517244799 750413798043 964817740341 1558551734397 2251241394129 2894453221023 6753724182387 20261172547161